Quantum corrections to energy of short spinning string in AdS5

TL;DR

This paper calculates quantum corrections to the energy of short spinning strings in AdS_5, providing insights into strong coupling behavior of gauge theory operators and revealing specific contributions involving zeta functions.

Contribution

It explicitly computes the leading 1-loop quantum corrections to the energy coefficients of short spinning strings in AdS_5, including novel zeta(3) contributions.

Findings

Quantum corrections modify energy coefficients of short strings.

Leading correction a_1 includes a zeta(3) term.

Results enhance understanding of strong coupling in gauge/string duality.

Abstract

Motivated by desire to shed light on the strong coupling behaviour of anomalous dimensions of "short" gauge theory operators we consider the famous example of folded spinning string in AdS_5 in the limit of small semiclassical spin parameter \S = S/sqrt[lambda]. In this limit the string becomes short and is moving in a near-flat central region of AdS_5. Its energy scales with spin as E = sqrt[2 S] [ a_0 + a_1 S + a_2 S^2 + ...]. We explicitly compute the leading 1-loop quantum AdS_5 x S^5 superstring corrections to the short-string limit coefficients a_0 and a_1 and show, in particular, that a_1 receives a contribution containing \zeta(3).